Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport.  The mean arrival rate is 9 passengers  per minute. A. Compute the probability of no arrivals in a one-minute period (to 4 decimals) B. Compute the probability that three or fewer passengers arrive on a one-minute peruod (4 decimal)C. Compute the probability of no arrivals in a 15-second peruod (to 4 decimal)D. Compute the probability of at least one arrival in a 15-second period (to 4 decimals)Thank you

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Asked Jan 8, 2020
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Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport.  The mean arrival rate is 9 passengers  per minute. 

A. Compute the probability of no arrivals in a one-minute period (to 4 decimals)

 

B. Compute the probability that three or fewer passengers arrive on a one-minute peruod (4 decimal)

C. Compute the probability of no arrivals in a 15-second peruod (to 4 decimal)

D. Compute the probability of at least one arrival in a 15-second period (to 4 decimals)

Thank you

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Expert Answer

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The Poisson distribution:

A discrete random variable X is said to have a Poisson distribution with parameter λ then the probability mass function (pmf) of the random variable is given by:

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Step 3

A)

The mean arrival rate is 9 passengers per minute. The probability of no arr...

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